1164106540 has 48 divisors (see below), whose sum is σ = 2481228288. Its totient is φ = 458704064.

The previous prime is 1164106523. The next prime is 1164106553. The reversal of 1164106540 is 456014611.

It is a junction number, because it is equal to n+sod(n) for n = 1164106499 and 1164106508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734589 + ... + 736171.

It is an arithmetic number, because the mean of its divisors is an integer number (51692256).

Almost surely, 2^1164106540 is an apocalyptic number.

1164106540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1164106540 is an abundant number, since it is smaller than the sum of its proper divisors (1317121748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1164106540 is a wasteful number, since it uses less digits than its factorization.

1164106540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1164106540 is about 34119.0055540896. The cubic root of 1164106540 is about 1051.9560032586.

The spelling of 1164106540 in words is "one billion, one hundred sixty-four million, one hundred six thousand, five hundred forty".